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GuDViN [60]
2 years ago
9

Find the measure of a 3. ts 43 90° << 43 = [?]

Mathematics
2 answers:
Natalka [10]2 years ago
6 0

THEOREM:

<u>Same Side Interior Angles Theorem</u>:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

ANSWER:

By same side interior angles theorem,

∠3 + 90° = 180°

∠3 = 180° - 90°

∠3 = 90°.

Karolina [17]2 years ago
3 0

The correct answer is 90

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Otto invests $1,000 at age 20. Otto wants theinvestment to be worth $4,000 by age 30. Ifinterest is compounded continuously, wha
AveGali [126]
r\approx0.139

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

\begin{gathered} A=Pe^{rt} \\  \end{gathered}

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

\begin{gathered} 4000=1000e^{\mleft\{10r\mright\}} \\ \frac{4000}{1000}=\frac{1000e^{10r}}{1000} \\ 4=e^{10r} \\ \ln (4)=\ln (e)^{10r} \\ 10r=\ln (4) \\ r=\frac{\ln (4)}{10} \\ r=0.1386 \end{gathered}

3) Thus the rate Otto needs is

r=0.1386\approx0.139

Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).

Or 13.9%

8 0
9 months ago
PLEASE ANSWER I REALLY NEED HELP ON THIS TEST
marshall27 [118]

Answer:

A

Step-by-step explanation:

beacause if you try to multiple 4x7.5 divided by 2 try it

6 0
2 years ago
The local cable company charges $90 per month for basic and $12 per month for each additional premium cable channel.The function
Alika [10]

Answer:

2 additional premium channels

Step-by-step explanation:

Using the given function, we substitute c(x) = 114 and solve for x:

114 =90 + 12x

Subtract 90 from both sides:

24=12x

Divide both sides by 12:

2=x

So you have ordered 2 additional premium channels.

5 0
3 years ago
Walmart sells 10 pens for $8.99 Walgreens sells 25pens for 19.75 which store has the better buy
monitta
Walmart: 10 pens/$8.99 -> $.89/pen
Walgreens: 25 pens/$19.75-> $.79

Walgreens has the better deal

6 0
2 years ago
12/39 in simplest form is 4/13 what are two ways to get there
arlik [135]
Divide 3 on the numerator and denominator.

Hoped this helped.

~Bob Ross®
7 0
2 years ago
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